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1713147072 = 263713711381
BaseRepresentation
bin110011000011100…
…1000110011000000
311102101120212222120
41212013020303000
512002031201242
6441554404240
760311336610
oct14607106300
94371525876
101713147072
117aa03282a
123b9890680
13213c006c0
14123748a40
15a05ee1ec
hex661c8cc0

1713147072 has 224 divisors, whose sum is σ = 5661379584. Its totient is φ = 445132800.

The previous prime is 1713147071. The next prime is 1713147089. The reversal of 1713147072 is 2707413171.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1713147071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239822 + ... + 1241202.

It is an arithmetic number, because the mean of its divisors is an integer number (25274016).

Almost surely, 21713147072 is an apocalyptic number.

1713147072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1713147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830689792).

1713147072 is an abundant number, since it is smaller than the sum of its proper divisors (3948232512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1713147072 is a wasteful number, since it uses less digits than its factorization.

1713147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 1713147072 is about 41390.1808645481. The cubic root of 1713147072 is about 1196.5519240218.

It can be divided in two parts, 1713 and 147072, that added together give a triangular number (148785 = T545).

The spelling of 1713147072 in words is "one billion, seven hundred thirteen million, one hundred forty-seven thousand, seventy-two".